-4(x-6)=3x-5

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Solution for -4(x-6)=3x-5 equation:


Simplifying
-4(x + -6) = 3x + -5

Reorder the terms:
-4(-6 + x) = 3x + -5
(-6 * -4 + x * -4) = 3x + -5
(24 + -4x) = 3x + -5

Reorder the terms:
24 + -4x = -5 + 3x

Solving
24 + -4x = -5 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
24 + -4x + -3x = -5 + 3x + -3x

Combine like terms: -4x + -3x = -7x
24 + -7x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
24 + -7x = -5 + 0
24 + -7x = -5

Add '-24' to each side of the equation.
24 + -24 + -7x = -5 + -24

Combine like terms: 24 + -24 = 0
0 + -7x = -5 + -24
-7x = -5 + -24

Combine like terms: -5 + -24 = -29
-7x = -29

Divide each side by '-7'.
x = 4.142857143

Simplifying
x = 4.142857143

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